A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr

Answers

Answer 1

The average speed of the car for the given distance is 91.97 km/hr.

What is speed and velocity?

While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.

Given that, a car started 35 minutes later that is it started after:

35 minutes = 35/60 = 0.5833 hours

Now the distance is given as:

distance = speed x time

Now, for speed = 65 km/hr:

distance = 65t

For the car the time is (t - 0.5833) thus:

distance = speed x time

130 = speed x (t - 0.5833)

Now for speed we have:

30 = s x (t - 0.5833)

130 = st - 0.5833s

130 + 0.5833s = st

130/s + 0.5833 = t

Now, substituting the value of t in the equation of the van we have:

distance = 65t

distance = 65(130/s + 0.5833)

130/s + 0.5833 = distance/65

130/s + 0.5833 = distance/65

130/s + 0.5833 = 130/65

130/s + 0.5833 = 2

s = 91.97km/hr

Hence, the average speed of the car for the given distance is 91.97 km/hr.

Learn more about speed here:

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Related Questions

After applying the distributive property to the expression 8(12-4) and then multiplying what will be the first term in the resulting subtraction expression

Answers

Answer:

The first term in the resulting subtraction expression is 96.

Step-by-step explanation:

Given - After applying the distributive property to the expression 8(12-4) and then multiplying

To find - What will be the first term in the resulting subtraction expression ?

Proof -

Given the expression is -

8( 12 - 4) = 8(12) - 8(4)

              = 96 - 32

⇒8( 12 - 4) = 96 - 32

So,

The first term in the resulting subtraction expression is 96.

A basketball team visited a store. There are 12 team members in all. Each team member bought 2 wristbands and 1 headband. Let w represent the cost of a wristband and h represent the cost of a headband.​

Answers

Answer:

24 + 121

Step-by-step explanation:

No of members=12

w=wristband.

h=headband

Total wristbands:-

[tex]\\ \sf\longmapsto 12(2)=24[/tex]

NEED ANSWERS NOW!! (Reward) brainlest and pointsss 27!!!

Answers

Answer:

quadrant 1 that the graph is mainly in

Answer:

x = 9

x = 1

Step-by-step explanation:

Help pls

Find x
a(21)
b(27)
c(9)
d(18)​

Answers

9514 1404 393

Answer:

  a.  21

Step-by-step explanation:

The external part of the hypotenuse of the right triangle is shown. The full length of the hypotenuse is 9+20 = 29. The Pythagorean theorem can be used to find x.

  x^2 +20^2 = 29^2

  x^2 = 841 -400

  x = √441

  x = 21

__

Alternate solution

The diameter of the circle is 2·20 = 40 units, so the product of distances from the external vertex to the opposite sides of the circle along the secant is (9)(40+9). The product of the distances along the tangent is x·x. These two products are equal, so ...

  x^2 = 9(49)

  x = (√9)(√49) = 3·7

  x = 21

What’s the probability?

Answers

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

The probability for a flip on either side of the coin is always 50% or [tex]\frac{1}{2}[/tex]

So to get the probability for the three flips just do:

[tex](\frac{1}{2}) ^{3}[/tex]  or [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex]

Either way you solve it the answer is [tex]\frac{1}{8}[/tex]

I need help asap, it was due yesterday and i still dont get it. will give 30 points ! plssss

will mark you brainliest and no links because i have a resticted computer. will report if link.
plsss its very easy for other people. i need help asap

Answers

Answer:

I'm pretty sure for the percent question the answer would be A because 6% of 40,000 is 2400 and if I multiply that 5 times I get 12000 so I believe its A!

The two legs of a right triangle measure 7 inches and 5 inches. Find the measure of the acute angle that is included between the longer leg and the hypotenuse. WILL GIVE BRAINIEST TO FIRST RIGHT ANSWER

Answers

Answer:

44.4 degrees

Step-by-step explanation:

Given the following

Hypotenuse = 7

Longer leg = 5 (adjacent])

Let the acute angle angle between both sides be x

According to SOH CAH TOA

Cos theta = adj/hyp

Cos x = 5/7

x= arccos (5/7)

x = arccos (0.7143)

x = 44.4degrees

Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees

Find the area of the composite figure below. Use 3 for π
.



420 yd²


350 yd²


157.5 yd²


150.2 yd²

Answers

Answer:

350 yd² v. .v

Step-by-step explanation:

your welcome

find the nth term of this quadratic sequence 4 9 16 25 36

Answers

Answer:

        aₙ = n² + 2n + 1

Step-by-step explanation:

a₁ = 4 = 2² = (1 + 1)²

a₂ = 9 = 3² = (2 + 1)²

a₃ = 16 = 4² = (3 + 1)²

a₄ = 25 = 5² = (4 + 1)²

a₅ = 36 = 6² = (5 + 1)²

Therefore:

               aₙ = (n + 1)² = n² + 2n + 1

1+1=

5
2
3
1

help me plz

Answers

Answer:

2 haha

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

I really need help ASAP and I only have 2 left of missing assignments on math and I am really bad at math and I am going to fail help me plzzzzz T^T continue


It's Homework #1: Odds

Answers

Answer:

1/2 ; 7/10

Step-by-step explanation:

1) we have ten letters A, E, I, O, U are five letters, so the odd can be expressed with the fraction 5/10, that can be simplified in 1/2

2) we have 7 non black parts in a total of ten parts, so the odd is 7/10  

What’s the length of a segment whose endpoints are (8,-6) and (-4,2)?

Answers

Answer:

Step-by-step explanation:

Imagine or draw a triangle with horizontal leg length 8 - (-4), or 12, and vertical leg length |-6 - 2|, or 8.  Use the Pythagorean Theorem to find the length of the hypotenuse:  

length of hypotenuse = +√(8² + 12²) = √208 = 4√13  (Answer A)

What is the answer to c to the fifth power, times c to the eighth power, times c to the negative fifth power?

Answers

Answer:

c^8

Step-by-step explanation:

Expressing the above Mathematically ;

c^5 * c^8 * c^-5

From.rules of indices :

a^x * a^y = a^(x + y)

Therefore, applying the rule of indices ;

c^5 * c^8 * c^-5 = c^(5 + 8 + - 5)

c^5 * c^8 * c^-5 = c^(5 + 8 - 5)

c^5 * c^8 * c^-5 = c^8

Hence,

c^5 * c^8 * c^-5 = c^8

Complete the statement. Round to the nearest hundredth if necessary.

6 lb = *blank* oz

Answers

Answer:

3 oz

Step-by-step explanation:

You have to divide 6 by 2 and you'll get the answer.

Anyone that is good at math, Mind giving me some help please?

Answers

Answer:

Add 3 after multiplying 1 and x.

Step-by-step explanation:

In this question we have to convert the given algebraic expression into a verbal expression.

Given algebraic expression is,

y = x + 3

Here, x is multiplied by 1

And 3 is added to x.

Therefore, verbal expression or statement will be,

Add 3 after multiplying 1 and x.

This rule defines the relationship between x and y.

Which of the following has a value that is greater than 10,000 but less than 100,000?

Answers

Answer:

8.721 x 10^4

Step-by-step explanation:

hope this helps:)

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Answers

I) what percentage of students finished the race in less than 12 seconds:

number of students who finished before 12 seconds= 16

total number of students= 20

% = (16×100)20 = 80%

ii) B.3

Answer:

number 5 is D

and number 6 is C

Help me pleaseee I need help

Answers

I think it is b because probability of 2 is 1/6 then probability of 4 is 1/6. If you times them together 1/6x1/6 it will equal 1/36 so b

5x – 3y = 24

What is the Slope and Y Intercept?​

Answers

Answer:

y=5/3x-8

Slope = 5/3

Y int = (0,-8) or y=-8

Step-by-step explanation:

Answer: 5/3x - 8

Step-by-step explanation:

-3y=24-5x

/3

5x/3 -8

5/3x - 8

Mrs. Smith has a 34-pound bag of sugar to use for 6 cakes. How much sugar, in lbs, is used for each cake? Round your answer to the hundredths

Answers

Answer:

32

Step-by-step explanation:

yr

Question 1
Select ALL of the expressions below that represent the product of n and 7.
zn
n+7
7+n​

Answers

the answer is n+7 and 7+n

You are drawing a map of your school and want to make sure all the measurements are accurate. You decide to use a scale of 1 cm = 3 feet. In your drawing, the main hallway ends up being 12 cm long.

The drawing is a little too big so you decide to change the scale to 1 cm = 4 feet.

Keeping the length in feet the same, how many centimeters long should the main hallway be in your new drawing?

Answers

Answer:

the main hallway should be 12cm in the new drawing

Step-by-step explanation:

hurry pleaseeeeeeeeeeeeeeeeeeeeeee

Answers

The answer is c because
70 is your correct answer

how many time must a three-minute
timer be flipped to measure a half hour

Answers

Answer:10

Step-by-step explanation: 30/3=10 times, each time taking three minutes to count down

Which number has the greatest value?
A 7.8 x 10-3
B 1.3 x 10-6
C 5.5 x 10-3
D 9.5 x 10-2

Answers

Answer:

D 9.5 x 10^-2

Step-by-step explanation:

D becuase it is only 10^-2, the other ones are 10^-3, which is less than 10^-2

The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.

Answers

Answer:

6 rolls because the total perimeter is 102 ft and five rolls is only 100 feet. So she needs 6 rolls.

Step-by-step explanation:

to find perimeter, add up all the side lengths.

so 15*4 (it's easier than 15+15+15...)

60 ft.

now we have to use Pythagorean's Theorum to find corner to corner.

so [tex]a^2+b^2=c^2[/tex]

we have a and b

[tex]15^2+15^2=c^2[/tex]

do the math...

225+225= 450

square root of 450=

21.213

double that because it's used twice (corner to corner and corner to corner)

42.426

now add it all up

42.426 + 60 = 102.426

we can round

102

20*5 = 100

so she needs 6

MY ORIGINAL ERROR WAS 5, BUT 5 TIMES 20 IS ONLY 80, SO THEREFORE 6 IS REQUIRED SO THERE IS ENOUGH TO COVER 102.

Answer:

Katie needs 6 crepe rolls.

Step-by-step explanation:

Hello!

Katie originally needed ~5.1 crepe rolls, but since its a question on how many rolls she should by, she should get 6.

There are a couple of steps in order to solve this.

Brainly is being weird- so I put an explanation to the problem in the image below- hope it helps!

help me please! i need help!

Answers

9514 1404 393

Answer:

  7u -63

Step-by-step explanation:

The distributive property says you can eliminate parentheses by applying the outside factor to each term inside parentheses.

  (u -9)7 = (u)(7) +(-9)(7) = 7u -63

Answer:

(u -9)7 = (u)(7) +(-9)(7) = 7u -63

NO LINKS!! PLEASEE HELPP QUICK I POSTED THIS SO MANY TIMES AND NOBODY ANSWERS PLSSS HELP MEEE Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for >

Answers

Answer:

y ≤ -2x - 2

Step-by-step explanation:

Slope- intercept form is y = mx + b, m being the slope and b being the y-intercept.

The slope is the rise of the line over the run. We can choose two points that are exactly on the line. Let's try points (-1, 0) and (0, -2). The line slopes down, so we already know the slope is negative. From point (-1, 0), the line goes down 2 units and over 1 unit. So, the slope is -[tex]\frac{2}{1}[/tex]. We can also simply say that the slope is -2.

The line intersects with the y-axis at point (0, -2), so the y-intercept is -2.

Because the shading is on the left side of the line and the line is solid, we can tell that y is less than or equal to -2x - 2. So, the equation is-

y ≤ -2x - 2

ME NEED HELP HERE SO CONFUSED

Answers

Answer:

106°

Step-by-step explanation:

By exterior angle theorem:

[tex]m \angle \: 1 = 62 \degree + 44 \degree \\ \\ m \angle \: 1 = 106 \degree[/tex]

Step-by-step explanation:

Let the unknown angle in the triangle be x.

x + 44 + 62 = 180(sum of angles in a triangle)

x + 106 = 180

x = 180 - 106

x = 74

Angle 1 + x = 180 (Sum of angles on the same straight line)

angle 1 + 74 = 180

Angle 1 = 180 - 74

= 106

Calculate the area of the shape below:
6 in
6 in
12 in
O 54 in?
0 432 in?
O 216 in
O 108 in?

Answers

Answer:

54

Step-by-step explanation:

The square in the middle = 36, as 6x6=36

There are 2 triangles on each side of the center square.

Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.

3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2

18x1/2 is 9.

Each triangle equals 9.

36+9+9=54

The final answer is 54